Error estimates for the finite volume element method for parabolic equations in convex polygonal domains
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Abstract
Abstract. We consider standard finite volume piecewise linear approximations for second order elliptic boundary value problems on a nonconvex polygonal domain. Based on sharp shift estimates, we derive error estimations in H 1-, L2- and L∞-norms, taking into consideration the regularity of the data. Numerical experiments and counterexamples illustrate the theoretical results